SOLUTION: 2*5^x=13*3^x solve for x

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Question 1015038: 2*5^x=13*3^x solve for x
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
2*5^x=13*3^x
log 2+x log 5=log 13 + x log 3
x log 5-x log 3=log 13-log 2
x=(log13-log2)/(log 5-log 3)
x=3.664
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check
2*5^3.664=727.87
13*3^3.664=727.97
This is rounding error.